Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 294, 843, 48, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 294, 843, 48, 833 is 1
GCD(294, 843, 48, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 294, 843, 48, 833 is 1
GCD(294, 843, 48, 833) = 1
Given Input numbers are 294, 843, 48, 833
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 294, 843, 48, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 843, 48, 833 is 1.
Therefore, GCD of numbers 294, 843, 48, 833 is 1
Given Input Data is 294, 843, 48, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 843 is 3 x 281
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 833 is 7 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(294, 843) = 82614
GCD(294, 843) = ( 294 x 843 ) / 82614
GCD(294, 843) = 247842 / 82614
GCD(294, 843) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 48) = 48
GCD(3, 48) = ( 3 x 48 ) / 48
GCD(3, 48) = 144 / 48
GCD(3, 48) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 833) = 2499
GCD(3, 833) = ( 3 x 833 ) / 2499
GCD(3, 833) = 2499 / 2499
GCD(3, 833) = 1
GCD of 294, 843, 48, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 294, 843, 48, 833?
GCD of 294, 843, 48, 833 is 1
2. Where do I get the detailed procedure to find GCD of 294, 843, 48, 833?
You can find a detailed procedure to find GCD of 294, 843, 48, 833 on our page.
3. How to find GCD of 294, 843, 48, 833 on a calculator?
You can find the GCD of 294, 843, 48, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.